Odd characteristic classes in entire cyclic homology and equivariant loop space homology

DOI10.4171/JNCG/406zbMath1494.55013arXiv1805.07449MaRDI QIDQ2073792

Batu Güneysu, Sergio Luigi Cacciatori

Publication date: 8 February 2022

Published in: Journal of Noncommutative Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07449

zbMATH Keywords

cyclic homologycharacteristic classesloop spacesequivariant homologyBismut-Chern characterChen integrals

Mathematics Subject Classification ID

Loop spaces (55P35) (K)-theory and homology; cyclic homology and cohomology (19D55) Equivariant homology and cohomology in algebraic topology (55N91)

Related Items (4)

A rigorous construction of the supersymmetric path integral associated to a compact spin manifold ⋮ A short proof of the localization formula for the loop space Chern character of spin manifolds ⋮ A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds ⋮ The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space

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• The odd Chern character in cyclic homology and spectral flow
• Iterated integrals of differential forms and loop space homology
• Duistermaat–Heckman formulas and index theory
• Structured vector bundles define differential K-theory

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